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Consider a CSTR where a simple first-order reaction takes place. The rate constant depends on the reactor temperature and can be given the Arrhenius equation. The reactor contents are cooled by a coolant that flows through a jacket around the reactor. Derive the dynamic model of the CSTR. i.e. the change of concentration of component A and the temperature of the reactor, assuming the flow rate and the inlet conditions are constant. You can use linearization technique for this coupled system.
Derive the transfer function relating changes in the reactor concentration to changes (C) in the coolant temperature (Tc).